1 less than 1/4 Question: Peggy is pp years old. ​ ​Maggie is 11 year less than \frac{1}{4} 4 1 ​ of Peggy's age. ​ ​What is Maggie's age in terms of p? ___ years

Answer:

arah is at a miniature exhibit. There is a model of a skyscraper. Underneath the model was a ratio. It said:

1 inch=30 feet.

If the model is 38 inches tall, how Sarah use this information to find the actual height of the skyscraper?

In this concept, you will learn how proportions are used to find actual and scale dimensions using a scale ratio.

Using Proportions to Find Dimensions

A scale is a ratio that shows the relationship between the representation of an object and the real measurement of an object. Toy makers use scale ratios to make models of cars and airplanes that are proportional to the real thing. Architects use scale drawings to plan the design of buildings.

A scale drawing is a drawing that is used to represent and object that is too large to be drawn in its actual dimensions. If a drawing is to scale, you can use proportions to determine the actual dimensions of the scale drawing.

Let’s look at a scale drawing of a sculpture. In the drawing, the sculpture is 4 inches tall. The scale is 1 inch : 4 feet. It scale can be written as

1 in4 ft

(Note: Inch is abbreviated “in.” or with the double prime mark, ″. Foot/feet is abbreviated “ft” or with the single prime mark, ′.)

A drawing with this scale tells you that 1 inch on paper is equal to 4 feet in real life. If the drawing is 4 inches tall, use the scale to find the actual height of the sculpture.

First, create a proportion using equivalent ratios. Remember to write the corresponding units in the numerator and in the denominator. The actual height of the sculpture is represented by the variable x.

1 in.4 ft.=4 in.x ft.

Then, cross multiply and simplify the equation to find the value of x.

xx==4(4)16

The sculpture will be 16 feet tall.

Let’s make a scale drawing. Use the scale 1′′=2′. Draw a room that is 8′×12′.

First, write a proportion to find the measurement of the width.

1′′2′=x′′8′

Next, cross multiply and simplify the equation to find the value of x.

2x2xx===1(8)84

The drawing will be 4

Answer:

70°

Step-by-step explanation:

We know that the triangle is an iscoceles based on the 2 small lines drawn horizontally on 2 sides of the triangle.

We know that the base angles in an iscoceles triangle are the same, so the angle that has not been drawn is 55°.

55° + 55° = 110°

180° - 110° = 70° (180 comes from the entire triangle adding up to 180°)

Answer:The answer is =3,7

Step-by-step explanation:

Answer:

x = 9

Number of observations = 6

Sum of observations = 54

Step-by-step explanation:

Number of observations, n = 6

Mean = ΣX / n

(6 + 8 + x + 2 + 10 + 2x - 1 + 2) / 6 = 9

(27 + 3x) / 6 = 9

27 + 3x = 6 * 9

27 + 3x = 54

3x = 54 - 27

3x = 27

x = 27 / 3

x = 9

Answer:

34 weeks

Step-by-step explanation:

As given,

Wage of 1 hour = $12

⇒1$ = [tex]\frac{1}{12}[/tex] hour

⇒$3000 = [tex]\frac{3000}{12}[/tex] = 250 hour

As given,

1 week = 5 days

And he works

[tex]1\frac{1}{2} = \frac{3}{2}[/tex] hour in 1 day

⇒5 days = 5×[tex]\frac{3}{2}[/tex] = [tex]\frac{15}{2}[/tex] hours

⇒1 week = [tex]\frac{15}{2}[/tex] hours

⇒1 hour = [tex]\frac{2}{15}[/tex] week

⇒250 hour = [tex]\frac{250 . 2}{15}[/tex] = 33.34 weeks ≈ 34 weeks

∴ we get

He has to Approximately work for 34 weeks with the extra hour per day to reach your goal.

Answer:

The scale Myra should use is one graph unit = 400 km or;

←--→ = 400 km

Step-by-step explanation:

The question relates to the representation of scale drawing

The actual distance between Perth and Sydney = 3294 kilometers

The given coordinates of Perth on the grid = (1.3, 3.4)

The given coordinates of Sydney on the grid = (9.2, 3.3)

The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;

[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

Therefore, by substitution, we have;

[tex]d = \sqrt{\left (9.2-1.3 \right )^{2}+\left (3.3-3.4 \right )^{2}} = \sqrt{\left (7.9 \right )^{2}+\left (-0.1 \right )^{2}} = \dfrac{\sqrt{6242} }{10} \approx 7.9[/tex]

d ≈ 7.9 units

Therefore, we have;

7.9 units of the graph = 3294 kilometers

1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km

Therefore, the scale Myra should use for her map is 1 unit = 400 km.

*check figure 1 for the diagram of the garden

Answer:

2,400 cm²

Step-by-step explanation:

The area of the garden has been decomposed into 3 rectangles, rectangles 1, 2, and 3 (see figure 2 in the attachment below).

To find the area of the garden, calculate the area of each of the 3 rectangles and sum them together.

Thus:

Rectangle 1:

Area = length × width = 20 × 20 = 400 cm²

Rectangle 2:

Area = length × width = 60 × 10 = 600 cm²

Rectangle 3:

Area = length × width = 70 × 20 = 1,400 cm²

✔️Area of the garden = 400 + 600 + 1,400 = 2,400 cm²

Answer:

Whole Number

Step-by-step explanation:

Answer:

A whole is a fraction with the denominator of one.

Step-by-step explanation:

Answer:

3x+1=71

3x=71+1

3x=72

x=24

Answer:

-19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

Plz, mark me brainliest ;)

Answer: the answer is on a calculator

Step-by-step explanation:

If your aboe to do that you can so anything

Answer:

10 months

Step-by-step explanation:

2000 - 500 = 1500.

You can pay 100 + 50 = 150 per month

1500 / 150 = 10 months

Answer:

look below!

Step-by-step explanation:

For the length I think you meant 32, and if you did it is $14.40

If not and you meant length of 2 it is $0.90

Answer:

lxwxh for volume.

2x.75x.5 = .75 cubic meters.

.75 percent of 1.20 = .90.

90 cents is the answer.

Answer: x = 13 and y = 8

Step-by-step explanation:

Two numbers must add to 21. We don't know them yet, so let's just use a placeholder for both of them for now.

x + y = 21

Their difference is five, meaning that if we subtract one from the other, we get five. Again, we don't know the numbers yet, so we'll add a placeholder for now.

x - y = 5

We can now solve a system of equations for x.

x = y + 5

y + 5 + y = 21

2y + 5 = 21

2y = 16

y = 8

x - 8 = 5

x = 13

So x = 13 and y = 8

Answer:

he initial number of water lily’s :the value 1.106 represents the population increase rateedge

Step-by-step explanation:

The value 3.915 represents the initial population in the exponential equation of water lilies.

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function.

There usual form is specified below. They are written in several such equivalent forms.

The standard exponential equation is given as; y = ab^x

where;a is the initial population b is the rate (growth or decline)

We have been Given the exponential equation; y = 3.915(1.106^x)

On comparison, we can see that,

a  = 3. 915

Hence, This shows that the value 3.915 represents the initial population of water lilies.

Learn more on exponential equation here:

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Answer: $20.35 on gallons of gas and $25.2 on cans of oil

Answer: -2.8

Step-by-step explanation:

3t-(8/5) * 4-t < -7

(15t-8)/5 * 4-t < -7

((15t-8)(4-t))/5 < -7

(15t^2)-28t-32< -7

(15t^2)-28t-32-7< 0

(15t^2)-28t-39< 0

Using the quadratic/almighty formula

t= (-b +- ((b^2)-4ac)^(1/2)/2a)

a=15, b=-28, c=-39

t= (-(28) +- (((-28)^2)-4(15)(-39))^(1/2))/2(15))

t= -2.8 or t= 0.9

Since

t<0, then t= -2.8

Answer:

a

Step-by-step explanation:

Answer:

0.70 grams of protein are there for every gram of carbohydrates

Step-by-step explanation:

10/10 = 1

7/10 = 0.7

Answer:

y = 12

Step-by-step explanation:

Answer:

D is 50,230,000,000

Step-by-step explanation:

explanation

510,000,000

9,600,000,000

244,000

50,230,000,000

Answer:

a=2.5

Step-by-step explanation:

3a-2.4=5.1   Add the like terms ( plus 2.4 cancels out -2.4)

   +2.4  +2.4

3a=7.5  Now divide by 3

/3     /3

a=2.5

Answer:

B

Step-by-step explanation:

[tex] \sin(30) = \frac{y}{68} \\ y = 34 \\ \cos( 30) = \frac{ x }{68} \\ x = 34 \sqrt{3} [/tex]

The equation to describe this will be y = 8x. It is assumed that Pass holders pay $8 each movie for the first five films. After five films, up to fifteen films, additional films are free. This will be represented by the function y = 40.

To learn more about equation, refer to:

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Answer:

B.) You don't really have to worry about finding the slope. You just have to look for the y intercept, which is (0, -2)

Hope this helps! :)

Answer:

D

Step-by-step explanation:1x1x1=1

Answer:

76??

Step-by-step explanation:

95×0.20=19

95-19=76

Answer:

11

Step-by-step explanation:

5(x-2)=45

x-2=45/5

x-2=9

x=9+2

x=11

Answer:

The measure or what?

Step-by-step explanation:

Answer:

we need a measure

Step-by-step explanation: